LCM of 108, 880, 860, 890, 942
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 108, 880, 860, 890, 942 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 108, 880, 860, 890, 942. So, keep reading to learn more.
Given numbers are 108,880,860,890,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 108,880,860,890,942 is 14275934640.
Find LCM of 108,880,860,890,942 with Prime Factorization
| 2 | 108, 880, 860, 890, 942 |
| 2 | 54, 440, 430, 445, 471 |
| 3 | 27, 220, 215, 445, 471 |
| 5 | 9, 220, 215, 445, 157 |
| 9, 44, 43, 89, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 9 x 44 x 43 x 89 x 157 = 14275934640
Therefore, the lowest common multiple of 108,880,860,890,942 is 14275934640.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
108 x 880 x 860 x 890 x 942 = 68524486272000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
890 : 1, 2, 5, 10, 89, 178, 445, 890
942 : 1, 2, 3, 6, 157, 314, 471, 942
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 108,880,860,890,942, is 2.
Now, the common factors can be found like this.
108:2x 2x 3x 3x 3
880:2x 2x 2x 2x 5x 11
860:2x 2x 5x 43
890:2x 5x 89
942:2x 3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 68524486272000/(2x2400)
LCM = 68524486272000/4800
LCM = 14275934640
Thus, we can understand that the LCM of 108,880,860,890,942 is 14275934640.
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FAQs on LCM of 108, 880, 860, 890, 942
1. What is the LCM of 108, 880, 860, 890, 942?
Answer: LCM of 108, 880, 860, 890, 942 is 14275934640.
2. How to calculate the LCM of 108, 880, 860, 890, 942?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 108, 880, 860, 890, 942.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.